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Finding the Fourth Proportional to 567,264.97, 782,825.67 and 312,616.16

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Solution

The fourth proportional to 567,264.97, 782,825.67 and 312,616.16 is: 431,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,264.97 : 782,825.67 = 312,616.16 : x
  2. Step 2: Convert to fraction form
    567,264.97/782,825.67 = 312,616.16/x
  3. Step 3: Cross multiply
    567,264.97x = 782,825.67 × 312,616.16
  4. Step 4: Simplify right side
    567,264.97x = 244,723,955,098.61
  5. Step 5: Solve for x
    x = 244,723,955,098.61/567,264.97
  6. Step 6: Final answer
    x = 431,410.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.